On Sun, Aug 25, 2019 at 9:30 PM Bruno Marchal <[email protected]> wrote:

> On 25 Aug 2019, at 07:43, Bruce Kellett <[email protected]> wrote:
>
> On Sun, Aug 25, 2019 at 2:14 PM Russell Standish <[email protected]>
> wrote:
>
> This is all different from John Clark's argument that something must
>> exist to breathe fire into all the computations. He calls that
>> something "matter", and strongly disavows the ability of arithmetic to
>> do this.
>
>
> I am with John here. Talk of a "disembodied" mind (or calculation). is
> just so much hot air. I ask for evidence of such things, and none has been
> provided to date. "Minds" (or calculations) are the consequence of physical
> operations.
>
>
> That is revisionism. The notion of computation has been discovered by
> mathematicians working on the foundation of mathematics, as a way to avoid
> some paradoxes. You confuse “physical implementation of a computation” with
> “computation”.
>

You confuse the formal definition of a "computation" with the physical
object that performs the operations necessary to do the calculation.



> That is like confusing a function and a set representation a function. It
> is a common error. But when doing metaphysics, that error becomes important
> to avoid. A mathematical object is different from all its representations
> through any other mathematical objects.
>

"A mathematical structure is a relation between propositions defined by
some rules of deduction." as Brent says. It may be isomorphic to other
mathematical objects, but that does not give it independent existence.

Bruce

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